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Finding the Fourth Proportional to 7,220.21, 9,964.05 and 4,238.19

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Solution

The fourth proportional to 7,220.21, 9,964.05 and 4,238.19 is: 5,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.21 : 9,964.05 = 4,238.19 : x
  2. Step 2: Convert to fraction form
    7,220.21/9,964.05 = 4,238.19/x
  3. Step 3: Cross multiply
    7,220.21x = 9,964.05 × 4,238.19
  4. Step 4: Simplify right side
    7,220.21x = 42,229,521.18
  5. Step 5: Solve for x
    x = 42,229,521.18/7,220.21
  6. Step 6: Final answer
    x = 5,848.80

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.